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Consider the following.f(x) =3x 3 + 20x 2 36x+ 16 Exercise (a) List the possible rational zeros off. Step 1 Since the function has integer

Consider the following.f(x) =3x3+ 20x236x+ 16

Exercise (a) List the possible rational zeros off. Step 1 Since the function has integer coefficients, you can use the Rational Zero Test.

Possible rational zeros =factors of constant term/factors of leading coefficient

First, list thepositivefactors of the constant term. Remember to include 1 in your list of factors. (Enter your answers as a comma-separated list.)

(b)Sketch the graph offso that some of the possible zeros in part (a) can be disregarded.

(c)Determine all real zeros off.

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